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Finding the Fourth Proportional to 3,771.27, 5,204.17 and 2,092.65

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Solution

The fourth proportional to 3,771.27, 5,204.17 and 2,092.65 is: 2,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.27 : 5,204.17 = 2,092.65 : x
  2. Step 2: Convert to fraction form
    3,771.27/5,204.17 = 2,092.65/x
  3. Step 3: Cross multiply
    3,771.27x = 5,204.17 × 2,092.65
  4. Step 4: Simplify right side
    3,771.27x = 10,890,495.89
  5. Step 5: Solve for x
    x = 10,890,495.89/3,771.27
  6. Step 6: Final answer
    x = 2,887.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.